Advanced Placement (AP) Calculus Projects
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Polar Coordinates Mystery Picture
Students will practice plotting polar coordinates to create a mystery picture. Coordinates include radians, degrees, negative angles and radii, and coterminal angles. When points are plotted and connected in order, the resulting picture is a sea turtle.
9th - 12th
Calculus, Graphing, PreCalculus
AP Calculus BC Polar Design Project (Taylor and Maclaurin series also included)
Polar Design Project – AP Calculus BC End-of-Year Project (Includes Series, Derivatives & Integrals)Bring creativity into your AP Calculus BC classroom with this engaging Polar Design Project that combines art, calculus, and real understanding! Students create a unique design using polar equations and analyze it using key BC concepts such as: Area between polar curves (definite integrals) Slope of tangent lines in polar form (derivatives) Taylor/Maclaurin series (local approximation) This
11th - 12th, Higher Education
Calculus, Math Test Prep, Other (Math)
Threads & Trends: Build a T-Shirt Company with Calculus
Turn your classroom into a business lab with this engaging end-of-year AP Calculus AB project! In Threads & Trends, students create their own T-shirt company and use calculus to make real business decisions. They’ll build cost, revenue, and profit functions, use derivatives to maximize profit, graph their models, and make data-driven recommendations like real entrepreneurs. This project blends optimization, derivatives, modeling, and business applications into a creative, real-world challenge
11th - 12th
Calculus, Engineering, Math Test Prep
Create a Calc-u-lentine Box Activity
Give your Calculus students a "crush" on math this February! This hands-on project transforms the traditional Valentine’s Day card box into a comprehensive portfolio of Calculus applications. From maximizing volume to approximating the area of a heart, this project requires students to apply core concepts to a physical 3D object. This project is designed for High School Calculus (AB, BC, or Dual Enrollment). Students are challenged to design a card box where every side represents a different Cal
11th - 12th
Calculus
The Easter Bunny Calculus Escape Hunt AP Calculus BC – Series & Taylor Expansion
Easter Bunny Calculus Escape Hunt AP Calculus BC – Series & Taylor Expansion ActivityTurn your calculus classroom into an exciting Easter escape adventure! In this engaging collaborative activity, students must help the Easter Bunny escape the Calculus Garden by solving a sequence of calculus challenges hidden inside Easter eggs. Students work in teams to search for eggs, solve calculus problems, and unlock gates on the path to the Golden Egg Exit. Each correct solution reveals a code that mo
11th - 12th, Higher Education
Calculus
Optimization Volume Project for Calculus
This project is for Calculus after students have mastered Optimization using derivatives. It is a hands-on activity in which students will find the minimum surface area of different geometric objects given a specific volume and then build the object. It includes worked out solutions for multiple geometric objects so that every student can do a different object. It culminates with a day to fill the objects with candies to see how close their object is to the set volume. Great project!
12th, Higher Education
Calculus
Preschool & Kindergarten Math Workbook 150 Pages | Numbers, Shapes, Time & More
This 150-page printable PDF is a complete math workbook for preschool and kindergarten students. It covers essential early math skills through engaging activities. What's inside?Number Recognition & Counting: Numbers 1-20, counting objects, before/after/betweenAddition & Subtraction: With pictures for easy understandingComparing Numbers: Greater than, less than, equal toShapes: Identifying, tracing circles, squares, triangles, rectangles, hexagons, pentagons, diamondsTracing Lines & Curves: Pre
PreK - 1st
Calculus, Numbers, Telling Time
AP Calculus Project: Roller Coaster with Piecewise Functions & Derivatives
Engage your AP Calculus students after the exam with this hands-on and creative project! Students design a mathematically valid roller coaster using piecewise functions that are continuous and differentiable at each transition point. They must graph the coaster, build a 3D model, and provide formal mathematical proofs of continuity and differentiability. Perfect for: AP Exam wrap-up weeks Summative assessments Honors Calculus projects Includes: Full student instructions Grading rubric Proof
10th - 12th
Calculus
A new formula in 3-D geometry
Breakthrough in 3D Geometry: A Novel Formula for Spatial Point Positioning This work unveils a pioneering formula in 3D geometry capable of determining the exact position of a point in space using only the vertices of a defining plane. Going beyond conventional methods that stop at the plane’s equation, this approach directly quantifies a point’s spatial relationship—whether it lies on, above, or below the plane—with unprecedented simplicity and precision. The formula holds transformative potent
Higher Education
Applied Math, Calculus, Geometry
AP Calculus BC “Tough Stuff” Project | Review & Concept Mastery Activity
Looking for a meaningful way to help your AP Calculus BC students review challenging concepts while building confidence before the exam? This FREE “Tough Stuff” Project is a student-centered activity that encourages deeper understanding, ownership of learning, and peer teaching—all essential for success in AP Calculus BC. Students identify a concept they find difficult, learn it more deeply, and then teach it in a clear and engaging way. This project is perfect for pre-exam review, post-unit r
9th - 12th
Calculus, Math Test Prep, PreCalculus
AP Calculus AB Dodecahedron End of Year Review
It is the end of the year and now it is time for review. This mini project will help students focus in on a topic and get even more comfortable with it. The students will fill out each of the pentagons and then put them together for a dodecahedron review. They will look at the CED and see how and where their topic lies, create their own MCQ and FRQ based questions, review important formulas and more. This project is editable, so please, make this your own. You can do this project individua
11th - 12th
Calculus
Create Your Own AP Calculus AB Final Exam
With students taking the College Board Exam, I do not give my students an official final exam. However, with a month of school remaining after the exam, I have my students make a final like they are the teacher. This allows the students to practice topics covered in a less stressful environment.
11th - 12th
Calculus
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